part a) x = 137, s = 14.2, n = 20, H0: μ = 132, Ha: μ ≠ 132, α =0.1

A) Test statistic: t = 1.57. Critical values: t = ±1.645. Do notreject H0. There is not sufficient evidence to conclude that themean is different from 132.

B) Test statistic: t = 1.57. Critical values: t = ±1.729. Do notreject H0. There is not sufficient evidence to conclude that themean is different from 132.

C) Test statistic: t = 0.35. Critical values: t = ±1.645. Do notreject H0. There is not sufficient evidence to conclude that themean is different from 132.

D) Test statistic: t = 0.35. Critical values: t = ±1.729. Do notreject H0. There is not sufficient evidence to conclude that themean is different from 132.

part b) A local group claims that the police issue more than 60speeding tickets a day in their area. To prove their point, theyrandomly select two weeks. Their research yields the number oftickets issued for each day. The data are listed below. At α =0.01, test the group's claim using P-values.

70 48 41 68 69 55 70 57 60 83 32 60 72 58

A) P-value = 0.4766. Since the P-value is great than α, there isnot sufficient evidence to support the the group's claim.

B) P-value = 0.4766. Since the P-value is great than α, there issufficient evidence to support the the group's claim.

part c) A local school district claims that the number of schooldays missed by its teachers due to illness is below the nationalaverage of μ = 5. A random sample of 28 teachers provided the databelow. At α = 0.05, test the district's claim using P-values.

0 3 6 3 3 5 4 1 3 5 7 3 1 2 3 3 2 4 1 6 2 5 2 8 3 1 2 5

A) standardized test statistic ≈ -4.522; Therefore, at a degreeof freedom of 27, P must lie between 0.0001 and 0.00003. P < α,reject H0. There is sufficient evidence to support the schooldistrict's claim.

B) standardized test statistic ≈ -4.522; Therefore, at a degreeof freedom of 27, P must lie between 0.0001 and 0.00003. P < α,reject H0. There is no sufficient evidence to support the schooldistrict's claim

part d) To test the effectiveness of a new drug designed torelieve pain, 200 patients were randomly selected and divided intotwo equal groups. One group of 100 patients was given a pillcontaining the drug while the other group of 100 was given aplacebo. What can we conclude about the effectiveness of the drugif 62 of those actually taking the drug felt a beneficial effectwhile 41 of the patients taking the placebo felt a beneficialeffect? Use α = 0.05.

A) claim: p1 = p2; critical values z0 = ±1.96; standardized teststatistic t ≈ 2.971; reject H0; The new drug is effective.

B) claim: p1 = p2; critical values z0 = ±1.96; standardized teststatistic t ≈ 2.971; do not reject H0; The new drug is noteffective.